Modulated \((C,\alpha)\)-ergodic theorems with non-integral orders for Dunford-Schwartz operators

DOI10.1215/00192082-8746145OpenAlexW3089515886WikidataQ114060398 ScholiaQ114060398MaRDI QIDQ2208488

Takeshi Yoshimoto

Publication date: 3 November 2020

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1601280432

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Functional analytic methods in summability (40H05)

Cites Work

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• Ergodic theorems with arithmetical weights
• Pointwise ergodic theorem along the prime numbers
• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• Ergodic theorems. With a supplement by Antoine Brunel
• On multiparameter ergodic and martingale theorems in infinite measure spaces
• Ergodic theorems for contraction semigroups
• On modulated ergodic theorems for Dunford-Schwartz operators
• Random ergodic theorems with universally representative sequences
• Almost everywhere convergence and boundedness of Cesàro-\(\alpha\) ergodic averages
• On the a.s. Cesàro-\(\alpha\) convergence for stationary or orthogonal random variables
• Multiparameter ratio ergodic theorems for semigroups
• An \(L^1\) counting problem in ergodic theory
• Ergodic averages with prime divisor weights in
• Pointwise ergodic theorems and function classes $M^{α}_{p}$
• The return times and the Wiener—Wintner property for mean-bounded positive operators in L^p
• A Pointwise Ergodic Theorem in L_p-Spaces
• Ergodic Properties of Lamperti Operators
• A joinings proof of Bourgain's return time theorem
• Weighted ergodic theorems for mean ergodic 𝐿₁-contractions
• On modulated ergodic theorems
• Multiparameter Abelian ergodic theorems of Chacon–Báez–Duarte type
• Multiparameter ergodic Cesàro-α averages
• Theorems on Fourier Series and Power Series(III)
• Remarks on Ergodic Theorems
• Weighted Birkhoff ergodic theorem with oscillating weights

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